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Finding the Fourth Proportional to 696.41, 1,044.97 and 331.21

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Solution

The fourth proportional to 696.41, 1,044.97 and 331.21 is: 496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.41 : 1,044.97 = 331.21 : x
  2. Step 2: Convert to fraction form
    696.41/1,044.97 = 331.21/x
  3. Step 3: Cross multiply
    696.41x = 1,044.97 × 331.21
  4. Step 4: Simplify right side
    696.41x = 346,099.29
  5. Step 5: Solve for x
    x = 346,099.29/696.41
  6. Step 6: Final answer
    x = 496.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.